﻿using System.Collections.Generic;
using System.IO;
using System.Numerics;
using System.Reflection;
using Mathos.Arithmetic.Numbers;
using Microsoft.VisualStudio.TestTools.UnitTesting;
using System.Threading.Tasks;
using System.Diagnostics;

namespace MathosTest
{
    [TestClass]
    public class DiscreteMathematics
    {
       

        [TestMethod]
        public void Find()
        {
            foreach (var item in Get.CustomList(10, 20, Check.IsPrime))
            {
                Debug.WriteLine("Primes in the sequence from 10 to 20: " + item);
            }
        }

        [TestMethod]
        public void FindLargePrimes()
        {
            Parallel.ForEach(Get.CustomList(10000000, 10000002, Check.IsPrime), (i) =>
            {
                Debug.Write(i + " ");
            });
        }

        [TestMethod]
        public void Factorial()
        {
            long factorial1 = Get.Factorial(20);
            Assert.IsTrue(factorial1 == 2432902008176640000);


        }

        [TestMethod]
        public void Remainder()
        {
            var testData = new List<long> { 2, 2 };
            var factorial = Get.Factorial(testData);
            var arr1000 = new[] { 4,0,2,3,8,7,2,6,0,0,7,7,0,9,3,7,7,3,5,4,3,7,0,2,4,3,3,9,2,3,0,0,3,9,8,5,7,1,9,3,7,4,8,6,4,2,1,0,7,1,4,6,3,2,5,4,3,7,9,9,9,1,0,4,2,9,9,3,8,5,1,2,3,9,8,6,2,9,0,2,0,5,9,2,0,4,4,2,0,8,4,8,6,9,6,9,4,0,4,8,0,0,4,7,9,9,8,8,6,1,0,1,9,7,1,9,6,0,5,8,6,3,1,6,6,6,8,7,2,9,9,4,8,0,8,5,5,8,9,0,1,3,2,3,8,2,9,6,6,9,9,4,4,5,9,0,9,9,7,4,2,4,5,0,4,0,8,7,0,7,3,7,5,9,9,1,8,8,2,3,6,2,7,7,2,7,1,8,8,7,3,2,5,1,9,7,7,9,5,0,5,9,5,0,9,9,5,2,7,6,1,2,0,8,7,4,9,7,5,4,6,2,4,9,7,0,4,3,6,0,1,4,1,8,2,7,8,0,9,4,6,4,6,4,9,6,2,9,1,0,5,6,3,9,3,8,8,7,4,3,7,8,8,6,4,8,7,3,3,7,1,1,9,1,8,1,0,4,5,8,2,5,7,8,3,6,4,7,8,4,9,9,7,7,0,1,2,4,7,6,6,3,2,8,8,9,8,3,5,9,5,5,7,3,5,4,3,2,5,1,3,1,8,5,3,2,3,9,5,8,4,6,3,0,7,5,5,5,7,4,0,9,1,1,4,2,6,2,4,1,7,4,7,4,3,4,9,3,4,7,5,5,3,4,2,8,6,4,6,5,7,6,6,1,1,6,6,7,7,9,7,3,9,6,6,6,8,8,2,0,2,9,1,2,0,7,3,7,9,1,4,3,8,5,3,7,1,9,5,8,8,2,4,9,8,0,8,1,2,6,8,6,7,8,3,8,3,7,4,5,5,9,7,3,1,7,4,6,1,3,6,0,8,5,3,7,9,5,3,4,5,2,4,2,2,1,5,8,6,5,9,3,2,0,1,9,2,8,0,9,0,8,7,8,2,9,7,3,0,8,4,3,1,3,9,2,8,4,4,4,0,3,2,8,1,2,3,1,5,5,8,6,1,1,0,3,6,9,7,6,8,0,1,3,5,7,3,0,4,2,1,6,1,6,8,7,4,7,6,0,9,6,7,5,8,7,1,3,4,8,3,1,2,0,2,5,4,7,8,5,8,9,3,2,0,7,6,7,1,6,9,1,3,2,4,4,8,4,2,6,2,3,6,1,3,1,4,1,2,5,0,8,7,8,0,2,0,8,0,0,0,2,6,1,6,8,3,1,5,1,0,2,7,3,4,1,8,2,7,9,7,7,7,0,4,7,8,4,6,3,5,8,6,8,1,7,0,1,6,4,3,6,
                                  5,0,2,4,1,5,3,6,9,1,3,9,8,2,8,1,2,6,4,8,1,0,2,1,3,0,9,2,7,6,1,2,4,4,8,9,6,3,5,9,9,2,8,7,0,5,1,1,4,9,6,4,9,7,5,4,1,9,9,0,9,3,4,2,2,2,1,5,6,6,8,3,2,5,7,2,0,8,0,8,2,1,3,3,3,1,8,6,1,1,6,8,1,1,5,5,3,6,1,5,8,3,6,5,4,6,9,8,4,0,4,6,7,0,8,9,7,5,6,0,2,9,0,0,9,5,0,5,3,7,6,1,6,4,7,5,8,4,7,7,2,8,4,2,1,8,8,9,6,7,9,6,4,6,2,4,4,9,4,5,1,6,0,7,6,5,3,5,3,4,0,8,1,9,8,9,0,1,3,8,5,4,4,2,4,8,7,9,8,4,9,5,9,9,5,3,3,1,9,1,0,1,7,2,3,3,5,5,5,5,6,6,0,2,1,3,9,4,5,0,3,9,9,7,3,6,2,8,0,7,5,0,1,3,7,8,3,7,6,1,5,3,0,7,1,2,7,7,6,1,9,2,6,8,4,9,0,3,4,3,5,2,6,2,5,2,0,0,0,1,5,8,8,8,5,3,5,1,4,7,3,3,1,6,1,1,7,0,2,1,0,3,9,6,8,1,7,5,9,2,1,5,1,0,9,0,7,7,8,8,0,1,9,3,9,3,1,7,8,1,1,4,1,9,4,5,4,5,2,5,7,2,2,3,8,6,5,5,4,1,4,6,1,0,6,2,8,9,2,1,8,7,9,6,0,2,2,3,8,3,8,9,7,1,4,7,6,0,8,8,5,0,6,2,7,6,8,6,2,9,6,7,1,4,6,6,7,4,6,9,7,5,6,2,9,1,1,2,3,4,0,8,2,4,3,9,2,0,8,1,6,0,1,5,3,7,8,0,8,8,9,8,9,3,9,6,4,5,1,8,2,6,3,2,4,3,6,7,1,6,1,6,7,6,2,1,7,9,1,6,8,9,0,9,7,7,9,9,1,1,9,0,3,7,5,4,0,3,1,2,7,4,6,2,2,2,8,9,9,8,8,0,0,5,1,9,5,4,4,4,4,1,4,2,8,2,0,1,2,1,8,7,3,6,1,7,4,5,9,9,2,6,4,2,9,5,6,5,8,1,7,4,6,6,2,8,3,0,2,9,5,5,5,7,0,2,9,9,0,2,4,3,2,4,1,5,3,1,8,1,6,1,7,2,1,0,4,6,5,8,3,2,0,3,6,7,8,6,9,0,6,1,1,7,2,6,0,1,5,8,7,8,3,5,2,0,7,5,1,5,1,6,2,8,4,2,2,5,5,4,0,2,6,5,1,7,0,4,8,3,3,0,4,2,2,6,1,4,3,9,7,4,2,8,6,9,3,3,0,6,1,6,
                                  9,0,8,9,7,9,6,8,4,8,2,5,9,0,1,2,5,4,5,8,3,2,7,1,6,8,2,2,6,4,5,8,0,6,6,5,2,6,7,6,9,9,5,8,6,5,2,6,8,2,2,7,2,8,0,7,0,7,5,7,8,1,3,9,1,8,5,8,1,7,8,8,8,9,6,5,2,2,0,8,1,6,4,3,4,8,3,4,4,8,2,5,9,9,3,2,6,6,0,4,3,3,6,7,6,6,0,1,7,6,9,9,9,6,1,2,8,3,1,8,6,0,7,8,8,3,8,6,1,5,0,2,7,9,4,6,5,9,5,5,1,3,1,1,5,6,5,5,2,0,3,6,0,9,3,9,8,8,1,8,0,6,1,2,1,3,8,5,5,8,6,0,0,3,0,1,4,3,5,6,9,4,5,2,7,2,2,4,2,0,6,3,4,4,6,3,1,7,9,7,4,6,0,5,9,4,6,8,2,5,7,3,1,0,3,7,9,0,0,8,4,0,2,4,4,3,2,4,3,8,4,6,5,6,5,7,2,4,5,0,1,4,4,0,2,8,2,1,8,8,5,2,5,2,4,7,0,9,3,5,1,9,0,6,2,0,9,2,9,0,2,3,1,3,6,4,9,3,2,7,3,4,9,7,5,6,5,5,1,3,9,5,8,7,2,0,5,5,9,6,5,4,2,2,8,7,4,9,7,7,4,0,1,1,4,1,3,3,4,6,9,6,2,7,1,5,4,2,2,8,4,5,8,6,2,3,7,7,3,8,7,5,3,8,2,3,0,4,8,3,8,6,5,6,8,8,9,7,6,4,6,1,9,2,7,3,8,3,8,1,4,9,0,0,1,4,0,7,6,7,3,1,0,4,4,6,6,4,0,2,5,9,8,9,9,4,9,0,2,2,2,2,2,1,7,6,5,9,0,4,3,3,9,9,0,1,8,8,6,0,1,8,5,6,6,5,2,6,4,8,5,0,6,1,7,9,9,7,0,2,3,5,6,1,9,3,8,9,7,0,1,7,8,6,0,0,4,0,8,1,1,8,8,9,7,2,9,9,1,8,3,1,1,0,2,1,1,7,1,2,2,9,8,4,5,9,0,1,6,4,1,9,2,1,0,6,8,8,8,4,3,8,7,1,2,1,8,5,5,6,4,6,1,2,4,9,6,0,7,9,8,7,2,2,9,0,8,5,1,9,2,9,6,8,1,9,3,7,2,3,8,8,6,4,2,6,1,4,8,3,9,6,5,7,3,8,2,2,9,1,1,2,3,1,2,5,0,2,4,1,8,6,6,4,9,3,5,3,1,4,3,9,7,0,1,3,7,4,2,8,5,3,1,9,2,6,6,4,9,8,7,5,3,3,7,2,1,8,9,4,0,6,9,4,2,8,1,4,3,4,1,1,8,5,2,0,1,5,8,0,1,4,
                                  1,2,3,3,4,4,8,2,8,0,1,5,0,5,1,3,9,9,6,9,4,2,9,0,1,5,3,4,8,3,0,7,7,6,4,4,5,6,9,0,9,9,0,7,3,1,5,2,4,3,3,2,7,8,2,8,8,2,6,9,8,6,4,6,0,2,7,8,9,8,6,4,3,2,1,1,3,9,0,8,3,5,0,6,2,1,7,0,9,5,0,0,2,5,9,7,3,8,9,8,6,3,5,5,4,2,7,7,1,9,6,7,4,2,8,2,2,2,4,8,7,5,7,5,8,6,7,6,5,7,5,2,3,4,4,2,2,0,2,0,7,5,7,3,6,3,0,5,6,9,4,9,8,8,2,5,0,8,7,9,6,8,9,2,8,1,6,2,7,5,3,8,4,8,8,6,3,3,9,6,9,0,9,9,5,9,8,2,6,2,8,0,9,5,6,1,2,1,4,5,0,9,9,4,8,7,1,7,0,1,2,4,4,5,1,6,4,6,1,2,6,0,3,7,9,0,2,9,3,0,9,1,2,0,8,8,9,0,8,6,9,4,2,0,2,8,5,1,0,6,4,0,1,8,2,1,5,4,3,9,9,4,5,7,1,5,6,8,0,5,9,4,1,8,7,2,7,4,8,9,9,8,0,9,4,2,5,4,7,4,2,1,7,3,5,8,2,4,0,1,0,6,3,6,7,7,4,0,4,5,9,5,7,4,1,7,8,5,1,6,0,8,2,9,2,3,0,1,3,5,3,5,8,0,8,1,8,4,0,0,9,6,9,9,6,3,7,2,5,2,4,2,3,0,5,6,0,8,5,5,9,0,3,7,0,0,6,2,4,2,7,1,2,4,3,4,1,6,9,0,9,0,0,4,1,5,3,6,9,0,1,0,5,9,3,3,9,8,3,8,3,5,7,7,7,9,3,9,4,1,0,9,7,0,0,2,7,7,5,3,4,7,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
                                  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 };
            var arr2000 = new[] {3,3,1,6,2,7,5,0,9,2,4,5,0,6,3,3,2,4,1,1,7,5,3,9,3,3,8,0,5,7,6,3,2,4,0,3,8,2,8,1,1,1,7,2,0,8,1,0,5,7,8,0,3,9,4,5,7,1,9,3,5,4,3,7,0,6,0,3,8,0,7,7,9,0,5,6,0,0,8,2,2,4,0,0,2,7,3,2,3,0,8,5,9,7,3,2,5,9,2,2,5,5,4,0,2,3,5,2,9,4,1,2,2,5,8,3,4,1,0,9,2,5,8,0,8,4,8,1,7,4,1,5,2,9,3,7,9,6,1,3,1,3,8,6,6,3,3,5,2,6,3,4,3,6,8,8,9,0,5,6,3,4,0,5,8,5,5,6,1,6,3,9,4,0,6,0,5,1,1,7,2,5,2,5,7,1,8,7,0,6,4,7,8,5,6,3,9,3,5,4,4,0,4,5,4,0,5,2,4,3,9,5,7,4,6,7,0,3,7,6,7,4,1,0,8,7,2,2,9,7,0,4,3,4,6,8,4,1,5,8,3,4,3,7,5,2,4,3,1,5,8,0,8,7,7,5,3,3,6,4,5,1,2,7,4,8,7,9,9,5,4,3,6,8,5,9,2,4,7,4,0,8,0,3,2,4,0,8,9,4,6,5,6,1,5,0,7,2,3,3,2,5,0,6,5,2,7,9,7,6,5,5,7,5,7,1,7,9,6,7,1,5,3,6,7,1,8,6,8,9,3,5,9,0,5,6,1,1,2,8,1,5,8,7,1,6,0,1,7,1,7,2,3,2,6,5,7,1,5,6,1,1,0,0,0,4,2,1,4,0,1,2,4,2,0,4,3,3,8,4,2,5,7,3,7,1,2,7,0,0,1,7,5,8,8,3,5,4,7,7,9,6,8,9,9,9,2,1,2,8,3,5,2,8,9,9,6,6,6,5,8,5,3,4,0,5,5,7,9,8,5,4,9,0,3,6,5,7,3,6,6,3,5,0,1,3,3,3,8,6,5,5,0,4,0,1,1,7,2,0,1,2,1,5,2,6,3,5,4,8,8,0,3,8,2,6,8,1,5,2,1,5,2,2,4,6,9,2,0,9,9,5,2,0,6,0,3,1,5,6,4,4,1,8,5,6,5,4,8,0,6,7,5,9,4,6,4,9,7,0,5,1,5,5,2,2,8,8,2,0,5,2,3,4,8,9,9,9,9,5,7,2,6,4,5,0,8,1,4,0,6,5,5,3,6,6,7,8,9,6,9,5,3,2,1,0,1,4,6,7,6,2,2,6,7,1,3,3,2,0,2,6,8,3,1,5,5,2,2,0,5,1,9,4,4,9,4,4,6,1,6,1,8,2,3,9,2,7,5,2,0,4,0,2,6,5,2,9,7,2,2,6,3,1,5,0,2,5,7,4,7,5,2,
                                 0,4,8,2,9,6,0,6,4,7,5,0,9,2,7,3,9,4,1,6,5,8,5,6,2,8,3,5,3,1,7,7,9,5,7,4,4,8,2,8,7,6,3,1,4,5,9,6,4,5,0,3,7,3,9,9,1,3,2,7,3,3,4,1,7,7,2,6,3,6,0,8,8,5,2,4,9,0,0,9,3,5,0,6,6,2,1,6,1,0,1,4,4,4,5,9,7,0,9,4,1,2,7,0,7,8,2,1,3,1,3,7,3,2,5,6,3,8,3,1,5,7,2,3,0,2,0,1,9,9,4,9,9,1,4,9,5,8,3,1,6,4,7,0,9,4,2,7,7,4,4,7,3,8,7,0,3,2,7,9,8,5,5,4,9,6,7,4,2,9,8,6,0,8,8,3,9,3,7,6,3,2,6,8,2,4,1,5,2,4,7,8,8,3,4,3,8,7,4,6,9,5,9,5,8,2,9,2,5,7,7,4,0,5,7,4,5,3,9,8,3,7,5,0,1,5,8,5,8,1,5,4,6,8,1,3,6,2,9,4,2,1,7,9,4,9,9,7,2,3,9,9,8,1,3,5,9,9,4,8,1,0,1,6,5,5,6,5,6,3,8,7,6,0,3,4,2,2,7,3,1,2,9,1,2,2,5,0,3,8,4,7,0,9,8,7,2,9,0,9,6,2,6,6,2,2,4,6,1,9,7,1,0,7,6,6,0,5,9,3,1,5,5,0,2,0,1,8,9,5,1,3,5,5,8,3,1,6,5,3,5,7,8,7,1,4,9,2,2,9,0,9,1,6,7,7,9,0,4,9,7,0,2,2,4,7,0,9,4,6,1,1,9,3,7,6,0,7,7,8,5,1,6,5,1,1,0,6,8,4,4,3,2,2,5,5,9,0,5,6,4,8,7,3,6,2,6,6,5,3,0,3,7,7,3,8,4,6,5,0,3,9,0,7,8,8,0,4,9,5,2,4,6,0,0,7,1,2,5,4,9,4,0,2,6,1,4,5,6,6,0,7,2,2,5,4,1,3,6,3,0,2,7,5,4,9,1,3,6,7,1,5,8,3,4,0,6,0,9,7,8,3,1,0,7,4,9,4,5,2,8,2,2,1,7,4,9,0,7,8,1,3,4,7,7,0,9,6,9,3,2,4,1,5,5,6,1,1,1,3,3,9,8,2,8,0,5,1,3,5,8,6,0,0,6,9,0,5,9,4,6,1,9,9,6,5,2,5,7,3,1,0,7,4,1,1,7,7,0,8,1,5,1,9,9,2,2,5,6,4,5,1,6,7,7,8,5,7,1,4,5,8,0,5,6,6,0,2,1,8,5,6,5,4,7,6,0,9,5,2,3,7,7,4,6,3,0,1,6,6,7,9,4,2,2,4,8,8,4,4,4,4,8,5,7,9,8,3,4,9,8,0,1,
                                 5,4,8,0,3,2,6,2,0,8,2,9,8,9,0,9,6,5,8,5,7,3,8,1,7,5,1,8,8,8,6,1,9,3,7,6,6,9,2,8,2,8,2,7,9,8,8,8,4,5,3,5,8,4,6,3,9,8,9,6,5,9,4,2,1,3,9,5,2,9,8,4,4,6,5,2,9,1,0,9,2,0,0,9,1,0,3,7,1,0,0,4,6,1,4,9,4,4,9,9,1,5,8,2,8,5,8,8,0,5,0,7,6,1,8,6,7,9,2,4,9,4,6,3,8,5,1,8,0,8,7,9,8,7,4,5,1,2,8,9,1,4,0,8,0,1,9,3,4,0,0,7,4,6,2,5,9,2,0,0,5,7,0,9,8,7,2,9,5,7,8,5,9,9,6,4,3,6,5,0,6,5,5,8,9,5,6,1,2,4,1,0,2,3,1,0,1,8,6,9,0,5,5,6,0,6,0,3,0,8,7,8,3,6,2,9,1,1,0,5,0,5,6,0,1,2,4,5,9,0,8,9,9,8,3,8,3,4,1,0,7,9,9,3,6,7,9,0,2,0,5,2,0,7,6,8,5,8,6,6,9,1,8,3,4,7,7,9,0,6,5,5,8,5,4,4,7,0,0,1,4,8,6,9,2,6,5,6,9,2,4,6,3,1,9,3,3,3,3,7,6,1,2,4,2,8,0,9,7,4,2,0,0,6,7,1,7,2,8,4,6,3,6,1,9,3,9,2,4,9,6,9,8,6,2,8,4,6,8,7,1,9,9,9,3,4,5,0,3,9,3,8,8,9,3,6,7,2,7,0,4,8,7,1,2,7,1,7,2,7,3,4,5,6,1,7,0,0,3,5,4,8,6,7,4,7,7,5,0,9,1,0,2,9,5,5,5,2,3,9,5,3,5,4,7,9,4,1,1,0,7,4,2,1,9,1,3,3,0,1,3,5,6,8,1,9,5,4,1,0,9,1,9,4,1,4,6,2,7,6,6,4,1,7,5,4,2,1,6,1,5,8,7,6,2,5,2,6,2,8,5,8,0,8,9,8,0,1,2,2,2,4,4,3,8,9,0,2,4,8,6,7,7,1,8,2,0,5,4,9,5,9,4,1,5,7,5,1,9,9,1,7,0,1,2,7,1,7,6,7,5,7,1,7,8,7,4,9,5,8,6,1,6,1,9,6,6,5,9,3,1,8,7,8,8,5,5,1,4,1,8,3,5,7,8,2,0,9,2,6,0,1,4,8,2,0,7,1,7,7,7,3,3,1,7,3,5,3,9,6,0,3,4,3,0,4,9,6,9,0,8,2,0,7,0,5,8,9,9,5,8,7,0,1,3,8,1,9,8,0,8,1,3,0,3,5,5,9,0,1,6,0,7,6,2,9,0,8,3,8,8,5,7,4,5,6,1,2,8,8,2,1,7,
                                 6,9,8,1,3,6,1,8,2,4,8,3,5,7,6,7,3,9,2,1,8,3,0,3,1,1,8,4,1,4,7,1,9,1,3,3,9,8,6,8,9,2,8,4,2,3,4,4,0,0,0,7,7,9,2,4,6,6,9,1,2,0,9,7,6,6,7,3,1,6,5,1,4,3,3,4,9,4,4,3,7,4,7,3,2,3,5,6,3,6,5,7,2,0,4,8,8,4,4,4,7,8,3,3,1,8,5,4,9,4,1,6,9,3,0,3,0,1,2,4,5,3,1,6,7,6,2,3,2,7,4,5,3,6,7,8,7,9,3,2,2,8,4,7,4,7,3,8,2,4,4,8,5,0,9,2,2,8,3,1,3,9,9,5,2,5,0,9,7,3,2,5,0,5,9,7,9,1,2,7,0,3,1,0,4,7,6,8,3,6,0,1,4,8,1,1,9,1,1,0,2,2,2,9,2,5,3,3,7,2,6,9,7,6,9,3,8,2,3,6,7,0,0,5,7,5,6,5,6,1,2,4,0,0,2,9,0,5,7,6,0,4,3,8,5,2,8,5,2,9,0,2,9,3,7,6,0,6,4,7,9,5,3,3,4,5,8,1,7,9,6,6,6,1,2,3,8,3,9,6,0,5,2,6,2,5,4,9,1,0,7,1,8,6,6,6,3,8,6,9,3,5,4,7,6,6,1,0,8,4,5,5,0,4,6,1,9,8,1,0,2,0,8,4,0,5,0,6,3,5,8,2,7,6,7,6,5,2,6,5,8,9,4,9,2,3,9,3,2,4,9,5,1,9,6,8,5,9,5,4,1,7,1,6,7,2,4,1,9,3,2,9,5,3,0,6,8,3,6,7,3,4,9,5,5,4,4,0,0,4,5,8,6,3,5,9,8,3,8,1,6,1,0,4,3,0,5,9,4,4,9,8,2,6,6,2,7,5,3,0,6,0,5,4,2,3,5,8,0,7,5,5,8,9,4,1,0,8,2,7,8,8,8,0,4,2,7,8,2,5,9,5,1,0,8,9,8,8,0,6,3,5,4,1,0,5,6,7,9,1,7,9,5,0,9,7,4,0,1,7,7,8,0,6,8,8,7,8,2,8,6,9,8,1,0,2,1,9,0,1,0,9,0,0,1,4,8,3,5,2,0,6,1,6,8,8,8,8,3,7,2,0,2,5,0,3,1,0,6,6,5,9,2,2,0,6,8,6,0,1,4,8,3,6,4,9,8,3,0,5,3,2,7,8,2,0,8,8,2,6,3,5,3,6,5,5,8,0,4,3,6,0,5,6,8,6,7,8,1,2,8,4,1,6,9,2,1,7,1,3,3,0,4,7,1,4,1,1,7,6,3,1,2,1,7,5,8,9,5,7,7,7,1,2,2,6,3,7,5,8,4,7,5,3,1,2,3,5,1,7,2,3,0,
                                 9,9,0,5,4,9,8,2,9,2,1,0,1,3,4,6,8,7,3,0,4,2,0,5,8,9,8,0,1,4,4,1,8,0,6,3,8,7,5,3,8,2,6,6,4,1,6,9,8,9,7,7,0,4,2,3,7,7,5,9,4,0,6,2,8,0,8,7,7,2,5,3,7,0,2,2,6,5,4,2,6,5,3,0,5,8,0,8,6,2,3,7,9,3,0,1,4,2,2,6,7,5,8,2,1,1,8,7,1,4,3,5,0,2,9,1,8,6,3,7,6,3,6,3,4,0,3,0,0,1,7,3,2,5,1,8,1,8,2,6,2,0,7,6,0,3,9,7,4,7,3,6,9,5,9,5,2,0,2,6,4,2,6,3,2,3,6,4,1,4,5,4,4,6,8,5,1,1,1,3,4,2,7,2,0,2,1,5,0,4,5,8,3,8,3,8,5,1,0,1,0,1,3,6,9,4,1,3,1,3,0,3,4,8,5,6,2,2,1,9,1,6,6,3,1,6,2,3,8,9,2,6,3,2,7,6,5,8,1,5,3,5,5,0,1,1,2,7,6,3,0,7,8,2,5,0,5,9,9,6,9,1,5,8,8,2,4,5,3,3,4,5,7,4,3,5,4,3,7,8,6,3,6,8,3,1,7,3,7,3,0,6,7,3,2,9,6,5,8,9,3,5,5,1,9,9,6,9,4,4,5,8,2,3,6,8,7,3,5,0,8,8,3,0,2,7,8,6,5,7,7,0,0,8,7,9,7,4,9,8,8,9,9,9,2,3,4,3,5,5,5,5,6,6,2,4,0,6,8,2,8,3,4,7,6,3,7,8,4,6,8,5,1,8,3,8,4,4,9,7,3,6,4,8,8,7,3,9,5,2,4,7,5,1,0,3,2,2,4,2,2,2,1,1,0,5,6,1,2,0,1,2,9,5,8,2,9,6,5,7,1,9,1,3,6,8,1,0,8,6,9,3,8,2,5,4,7,5,7,6,4,1,1,8,8,8,6,8,7,9,3,4,6,7,2,5,1,9,1,2,4,6,1,9,2,1,5,1,1,4,4,7,3,8,8,3,6,2,6,9,5,9,1,6,4,3,6,7,2,4,9,0,0,7,1,6,5,3,4,2,8,2,2,8,1,5,2,6,6,1,2,4,7,8,0,0,4,6,3,9,2,2,5,4,4,9,4,5,1,7,0,3,6,3,7,2,3,6,2,7,9,4,0,7,5,7,7,8,4,5,4,2,0,9,1,0,4,8,3,0,5,4,6,1,6,5,6,1,9,0,6,2,2,1,7,4,2,8,6,9,8,1,6,0,2,9,7,3,3,2,4,0,4,6,5,2,0,2,0,1,9,9,2,8,1,3,8,5,4,8,8,2,6,8,1,9,5,1,0,0,7,2,8,2,8,6,9,7,0,1,0,7,0,
                                 7,3,7,5,0,0,9,2,7,6,6,6,4,8,7,5,0,2,1,7,4,7,7,5,3,7,2,7,4,2,3,5,1,5,0,8,7,4,8,2,4,6,7,2,0,2,7,4,1,7,0,0,3,1,5,8,1,1,2,2,8,0,5,8,9,6,1,7,8,1,2,2,1,6,0,7,4,7,4,3,7,9,4,7,5,1,0,9,5,0,6,2,0,9,3,8,5,5,6,6,7,4,5,8,1,2,5,2,5,1,8,3,7,6,6,8,2,1,5,7,7,1,2,8,0,7,8,6,1,4,9,9,2,5,5,8,7,6,1,3,2,3,5,2,9,5,0,4,2,2,3,4,6,3,8,7,8,7,8,9,5,4,8,5,0,8,8,5,7,6,4,4,6,6,1,3,6,2,9,0,3,9,4,1,2,7,6,6,5,9,7,8,0,4,4,2,0,2,0,9,2,2,8,1,3,3,7,9,8,7,1,1,5,9,0,0,8,9,6,2,6,4,8,7,8,9,4,2,4,1,3,2,1,0,4,5,4,9,2,5,0,0,3,5,6,6,6,7,0,6,3,2,9,0,9,4,4,1,5,7,9,3,7,2,9,8,6,7,4,3,4,2,1,4,7,0,5,0,7,2,1,3,5,8,8,9,3,2,0,1,9,5,8,0,7,2,3,0,6,4,7,8,1,4,9,8,4,2,9,5,2,2,5,9,5,5,8,9,0,1,2,7,5,4,8,2,3,9,7,1,7,7,3,3,2,5,7,2,2,9,1,0,3,2,5,7,6,0,9,2,9,7,9,0,7,3,3,2,9,9,5,4,5,0,5,6,3,8,8,3,6,2,6,4,0,4,7,4,6,5,0,2,4,5,0,8,0,8,0,9,4,6,9,1,1,6,0,7,2,6,3,2,0,8,7,4,9,4,1,4,3,9,7,3,0,0,0,7,0,4,1,1,1,4,1,8,5,9,5,5,3,0,2,7,8,8,2,7,3,5,7,6,5,4,8,1,9,1,8,2,0,0,2,4,4,9,6,9,7,7,6,1,1,1,1,3,4,6,3,1,8,1,9,5,2,8,2,7,6,1,5,9,0,9,6,4,1,8,9,7,9,0,9,5,8,1,1,7,3,3,8,6,2,7,2,0,6,0,8,8,9,1,0,4,3,2,9,4,5,2,4,4,9,7,8,5,3,5,1,4,7,0,1,4,1,1,2,4,4,2,1,4,3,0,5,5,4,8,6,0,8,9,6,3,9,5,7,8,3,7,8,3,4,7,3,2,5,3,2,3,5,9,5,7,6,3,2,9,1,4,3,8,9,2,5,2,8,8,3,9,3,9,8,6,2,5,6,2,7,3,2,4,2,8,6,2,7,7,5,5,6,3,1,4,0,4,6,3,8,3,0,3,8,9,1,6,8,4,2,1,6,3,3,
                                 1,1,3,4,4,5,6,3,6,3,0,9,5,7,1,9,6,5,9,7,8,4,6,6,3,3,8,5,5,1,4,9,2,3,1,6,1,9,6,3,3,5,6,7,5,3,5,5,1,3,8,4,0,3,4,2,5,8,0,4,1,6,2,9,1,9,8,3,7,8,2,2,2,6,6,9,0,9,5,2,1,7,7,0,1,5,3,1,7,5,3,3,8,7,3,0,2,8,4,6,1,0,8,4,1,8,8,6,5,5,4,1,3,8,3,2,9,1,7,1,9,5,1,3,3,2,1,1,7,8,9,5,7,2,8,5,4,1,6,6,2,0,8,4,8,2,3,6,8,2,8,1,7,9,3,2,5,1,2,9,3,1,2,3,7,5,2,1,5,4,1,9,2,6,9,7,0,2,6,9,7,0,3,2,9,9,4,7,7,6,4,3,8,2,3,3,8,6,4,8,3,0,0,8,8,7,1,5,3,0,3,7,3,4,0,5,6,6,6,3,8,3,8,6,8,2,9,4,0,8,8,4,8,7,7,3,0,7,2,1,7,6,2,2,6,8,8,4,9,0,2,3,0,8,4,9,3,4,6,6,1,1,9,4,2,6,0,1,8,0,2,7,2,6,1,3,8,0,2,1,0,8,0,0,5,0,7,8,2,1,5,7,4,1,0,0,6,0,5,4,8,4,8,2,0,1,3,4,7,8,5,9,5,7,8,1,0,2,7,7,0,7,0,7,7,8,0,6,5,5,5,1,2,7,7,2,5,4,0,5,0,1,6,7,4,3,3,2,3,9,6,0,6,6,2,5,3,2,1,6,4,1,5,0,0,4,8,0,8,7,7,2,4,0,3,0,4,7,6,1,1,9,2,9,0,3,2,2,1,0,1,5,4,3,8,5,3,5,3,1,3,8,6,8,5,5,3,8,4,8,6,4,2,5,5,7,0,7,9,0,7,9,5,3,4,1,1,7,6,5,1,9,5,7,1,1,8,8,6,8,3,7,3,9,8,8,0,6,8,3,8,9,5,7,9,2,7,4,3,7,4,9,6,8,3,4,9,8,1,4,2,9,2,3,2,9,2,1,9,6,3,0,9,7,7,7,0,9,0,1,4,3,9,3,6,8,4,3,6,5,5,3,3,3,3,5,9,3,0,7,8,2,0,1,8,1,3,1,2,9,9,3,4,5,5,0,2,4,2,0,6,0,4,4,5,6,3,3,4,0,5,7,8,6,0,6,9,6,2,4,7,1,9,6,1,5,0,5,6,0,3,3,9,4,8,9,9,5,2,3,3,2,1,8,0,0,4,3,4,3,5,9,9,6,7,2,5,6,6,2,3,9,2,7,1,9,6,4,3,5,4,0,2,8,7,2,0,5,5,4,7,5,0,1,2,0,7,9,8,5,4,3,3,1,9,7,0,6,7,4,7,9,7,
                                 3,1,3,1,2,6,8,1,3,5,2,3,6,5,3,7,4,4,0,8,5,6,6,2,2,6,3,2,0,6,7,6,8,8,3,7,5,8,5,1,3,2,7,8,2,8,9,6,2,5,2,3,3,3,2,8,4,3,4,1,8,1,2,9,7,7,6,2,4,6,9,7,0,7,9,5,4,3,4,3,6,0,0,3,4,9,2,3,4,3,1,5,9,2,3,9,6,7,4,7,6,3,6,3,8,9,1,2,1,1,5,2,8,5,4,0,6,6,5,7,7,8,3,6,4,6,2,1,3,9,1,1,2,4,7,4,4,7,0,5,1,2,5,5,2,2,6,3,4,2,7,0,1,2,3,9,5,2,7,0,1,8,1,2,7,0,4,5,4,9,1,6,4,8,0,4,5,9,3,2,2,4,8,1,0,8,8,5,8,6,7,4,6,0,0,9,5,2,3,0,6,7,9,3,1,7,5,9,6,7,7,5,5,5,8,1,0,1,1,6,7,9,9,4,0,0,0,5,2,4,9,8,0,6,3,0,3,7,6,3,1,4,1,3,4,4,4,1,2,2,6,9,0,3,7,0,3,4,9,8,7,3,5,5,7,9,9,9,1,6,0,0,9,2,5,9,2,4,8,0,7,5,0,5,2,4,8,5,5,4,1,5,6,8,2,6,6,2,8,1,7,6,0,8,1,5,4,4,6,3,0,8,3,0,5,4,0,6,6,7,7,4,1,2,6,3,0,1,2,4,4,4,1,8,6,4,2,0,4,1,0,8,3,7,3,1,1,9,0,9,3,1,3,0,0,0,1,1,5,4,4,7,0,5,6,0,2,7,7,7,7,3,7,2,4,3,7,8,0,6,7,1,8,8,8,9,9,7,7,0,8,5,1,0,5,6,7,2,7,2,7,6,7,8,1,2,4,7,1,9,8,8,3,2,8,5,7,6,9,5,8,4,4,2,1,7,5,8,8,8,9,5,1,6,0,4,6,7,8,6,8,2,0,4,8,1,0,0,1,0,0,4,7,8,1,6,4,6,2,3,5,8,2,2,0,8,3,8,5,3,2,4,8,8,1,3,4,2,7,0,8,3,4,0,7,9,8,6,8,4,8,6,6,3,2,1,6,2,7,2,0,2,0,8,8,2,3,3,0,8,7,2,7,8,1,9,0,8,5,3,7,8,8,4,5,4,6,9,1,3,1,5,5,6,0,2,1,7,2,8,8,7,3,1,2,1,9,0,7,3,9,3,9,6,5,2,0,9,2,6,0,2,2,9,1,0,1,4,7,7,5,2,7,0,8,0,9,3,0,8,6,5,3,6,4,9,7,9,8,5,8,5,5,4,0,1,0,5,7,7,4,5,0,2,7,9,2,8,9,8,1,4,6,0,3,6,8,8,4,3,1,8,2,1,5,0,8,6,3,7,2,4,6,
                                 2,1,6,9,6,7,8,7,2,2,8,2,1,6,9,3,4,7,3,7,0,5,9,9,2,8,6,2,7,7,1,1,2,4,4,7,6,9,0,9,2,0,9,0,2,9,8,8,3,2,0,1,6,6,8,3,0,1,7,0,2,7,3,4,2,0,2,5,9,7,6,5,6,7,1,7,0,9,8,6,3,3,1,1,2,1,6,3,4,9,5,0,2,1,7,1,2,6,4,4,2,6,8,2,7,1,1,9,6,5,0,2,6,4,0,5,4,2,2,8,2,3,1,7,5,9,6,3,0,8,7,4,4,7,5,3,0,1,8,4,7,1,9,4,0,9,5,5,2,4,2,6,3,4,1,1,4,9,8,4,6,9,5,0,8,0,7,3,3,9,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
                                 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
            Assert.IsTrue(factorial == 4);
            Assert.IsTrue(Get.Factorial(new List<long>() { 5, 4, 3, 2, 1 }) == 153);
            Assert.IsTrue(Get.Factorial(new List<long>() { 3, 2, 1 }) == 9);
            Assert.IsTrue(Get.Factorial(20) == 2432902008176640000);
            var actual = Get.FactorialBig(2000);
            CollectionAssert.AreEqual(arr2000, actual);

            //TODO:need to handle at least up to 3000! can't even hit 21 output is wrong.
            //DONE! it now handles upto 6000, result is in the form of a single dimentional array .
        }

        [TestMethod]
        public void FactorialBigIntegerTest()
        {
            List<BigInteger> listOfFactorials = new List<BigInteger>();
            using (Stream s = Assembly.GetExecutingAssembly().GetManifestResourceStream(
                "MathosTest.Mathos_Main.Test_Values.FactorialValues.txt"))
            {
                using (StreamReader sr = new StreamReader(s))
                {
                    string value;
                    while ((value = sr.ReadLine()) != null)
                    {
                        listOfFactorials.Add(BigInteger.Parse(value));
                    }
                }
            }

            for (int i = 0; i < listOfFactorials.Count; i = i + 2)
            {
                Assert.AreEqual(Get.FactorialBigInteger((long)listOfFactorials[i]), listOfFactorials[i + 1]);
            }

        }

        // Add new values to the text file in Test Values folder to test any value. None of the code above
        // needs to be changed after adding a new value to the text file. Currently it only tests up to
        // 10,000 for speed considerations. I've tested it up to n = 100,000 and it passes.

        [TestMethod]
        public void OtherStuff()
        {
            Assert.IsTrue(Check.IsEven(50));
            Assert.IsTrue(Check.IsOdd(51));
        }

        [TestMethod]
        public void IsDivisibleBy()
        {
            Assert.IsTrue(Check.IsDivisible(6, 3));
            Assert.IsFalse(Check.IsDivisible(3, 2));
        }

        [TestMethod]
        public void GetFactors()
        {

            //Assert.IsTrue((Fraction)"3/4" is Fraction);

            foreach (long fact in Get.Factors(2003))
            {
                Debug.WriteLine("factor: " + fact);
            }
            Assert.IsTrue(Check.IsPrime(2003) == true);
        }
    }
}